1.

Find the value of 9.6363…  – 7.8….1. 764/992. 173/993. 123/994. 145/99

Answer» Correct Answer - Option 2 : 173/99

Concept

Value of 0.6363….  = 63/99

Value of 0.8…  = 8/9

Explanation

9 + 0.6363…. – (7 + 0.8… )

⇒  9 + (63/99) – [7 + (8/9)]

⇒  9 + (63/99) – 7 – (8/9)

⇒  9 – 7 + [(63/99) – (8/9)]

⇒  2+ [(63 – 88)/99]

⇒  2 + (-25/99)

⇒  [(198 – 25)/99]

⇒  173/99


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